131383583968
131,383,583,968 is an even composite number composed of six prime numbers multiplied together.
131383583968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 131383583968:
25 × 72 × 13 × 19 × 312 × 353
(2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 19 × 31 × 31 × 353)See below for interesting mathematical facts about the number 131383583968 from the Numbermatics database.
Names of 131383583968
- Cardinal: 131383583968 can be written as One hundred thirty-one billion, three hundred eighty-three million, five hundred eighty-three thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.31383583968 × 1011
Factors of 131383583968
Divisors of 131383583968
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 4 7 8 13 14 16 19 26 28 31 32 38 49 52 56 62 76 91 98 104 112 124 133 152 182 196 208 217 224 247 248 266 304 353 364 392 403 416 434 494 496 532 589 608 637 706 728 784 806 868 931 961 988 992 1064 1178 1274 1412 1456 1519 1568 1612 1729 1736 1862 1922 1976 2128 2356 2471 2548 2821 2824 2912 3038 3224 3458 3472 3724 3844 3952 4123 4256 4589 4712 4942 5096 5642 5648 6076 6448 6707 6727 6916 6944 7448 7657 7688 7904 8246 9178 9424 9884 10192 10943 11284 11296 12103 12152 12493 12896 13414 13454 13832 14896 15314 15376 16492 17297 18259 18356 18848 19747 19768 20384 21886 22568 24206 24304 24986 26828 26908 27664 28861 29792 30628 30752 32123 32984 34594 36518 36712 39494 39536 43772 45136 46949 47089 48412 48608 49972 53599 53656 53816 55328 57722 61256 64246 65968 69188 73036 73424 76601 78988 79072 87191 87451 87544 90272 93898 94178 96824 99944 107198 107312 107632 115444 122512 127813 128492 131936 138376 142259 146072 146848 153202 157976 174382 174902 175088 187796 188356 193648 199888 207917 214396 214624 215264 224861 230888 237367 245024 255626 256984 276752 284518 292144 306404 315952 328643 339233 348764 349804 350176 375193 375592 376712 387296 399776 415834 428792 449722 461776 474734 511252 513968 536207 553504 569036 584288 610337 612157 612808 631904 657286 678466 697528 699608 750386 751184 753424 831668 857584 894691 899444 923552 949468 995813 1022504 1027936 1072414 1138072 1220674 1224314 1225616 1314572 1356932 1395056 1399216 1455419 1500772 1502368 1506848 1661569 1663336 1715168 1789382 1798888 1898936 1991626 2045008 2144828 2276144 2374631 2441348 2448628 2451232 2629144 2702921 2713864 2790112 2798432 2910838 3001544 3323138 3326672 3578764 3597776 3797872 3983252 4090016 4272359 4289656 4410029 4552288 4749262 4882696 4897256 5258288 5405842 5427728 5821676 6003088 6445427 6646276 6653344 6970691 7157528 7195552 7595744 7966504 8544718 8579312 8820058 9498524 9765392 9794512 10187933 10516576 10811684 10855456 11630983 11643352 12006176 12890854 13292552 13941382 14315056 15933008 16622417 17089436 17158624 17640116 18920447 18997048 19530784 19589024 20375866 21623368 23261966 23286704 25781708 26585104 27882764 28630112 30870203 31866016 33244834 34178872 35280232 37840894 37994096 40751732 43246736 45117989 46523932 46573408 51563416 53170208 55765528 61740406 66489668 68357744 70560464 75681788 75988192 81503464 83790551 86493472 90235978 93047864 103126832 111531056 123480812 132443129 132979336 136715488 141120928 151363576 163006928 167581102 180471956 186095728 206253664 216091421 223062112 246961624 264886258 265958672 302727152 315825923 326013856 335162204 360943912 372191456 432182842 493923248 529772516 531917344 586533857 605454304 631651846 670324408 721887824 864365684 987846496 1059545032 1173067714 1263303692 1340648816 1443775648 1728731368 2119090064 2346135428 2526607384 2681297632 3457462736 4105736999 4238180128 4692270856 5053214768 6914925472 8211473998 9384541712 10106429536 16422947996 18769083424 32845895992 65691791984 131383583968
- Sum of all divisors σ(n): 353448340560
- Sum of proper divisors (its aliquot sum) s(n): 222064756592
- 131383583968 is an abundant number, because the sum of its proper divisors (222064756592) is greater than itself. Its abundance is 90681172624
Bases of 131383583968
- Binary: 11110100101110001001001100100111000002
- Hexadecimal: 0x1E971264E0
- Base-36: 1OCUE674
Squares and roots of 131383583968
- 131383583968 squared (1313835839682) is 17261646136276506625024
- 131383583968 cubed (1313835839683) is 2267896934571387179034548994015232
-
The
square root of 131383583968 is 362468.7351593237 -
The
cube root of 131383583968 is 5083.7053170463
Scales and comparisons
How big is 131383583968?- 131,383,583,968 seconds is equal to 4,177 years, 30 weeks, 5 days, 7 hours, 59 minutes, 28 seconds.
-
To count from 1 to 131,383,583,968 would take you about eight thousand, three hundred fifty-five years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 131383583968 cubic inches would be around 423.6 feet tall.
Recreational maths with 131383583968
- 131383583968 backwards is 869385383131
- The number of decimal digits it has is: 12
- The sum of 131383583968's digits is 58
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 131383583968 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
APA style:
Numbermatics. (2024). Number 131383583968 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/131383583968/
Chicago style:
Numbermatics. 2024. "Number 131383583968 - Facts about the integer". https://numbermatics.com/n/131383583968/
The information we have on file for 131383583968 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 131383583968, math, Factors of 131383583968, curriculum, school, college, exams, university, Prime factorization of 131383583968, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one billion, three hundred eighty-three million, five hundred eighty-three thousand, nine hundred sixty-eight.